Final - 5

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0 and is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope. For example, the lines y = mx + b1 and y = mx + b2 are parallel.

Front

What is the factored form of a difference of squares?

Back

The factored form of a difference of squares a^2 - b^2 is (a + b)(a - b).

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (D = b² - 4ac) determines the nature of the roots of the quadratic equation: D > 0 means two distinct real roots, D = 0 means one real root, and D < 0 means no real roots.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b, then express it as (x + p)(x + q).